General termEasyQuestion 280001
Question
The general term (r+1)th in (x + y)ⁿ is:
- AⁿCᵣ xⁿ⁻ʳ yʳCorrect
- BⁿCᵣ xʳ yⁿ⁻ʳ
- CⁿCᵣ₋₁ xⁿ⁻ʳ yʳ
- DⁿCᵣ xⁿ yʳ
Correct answer
ⁿCᵣ xⁿ⁻ʳ yʳ
Explanation
The (r+1)th term in the binomial expansion of (x+y)ⁿ is T_{r+1} = ⁿCᵣ × x^(n−r) × y^r. The index r goes from 0 to n.